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Finding the Third Proportional to 21,124.55 and 49,120.17

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Solution

The third proportional to 21,124.55 and 49,120.17 is: 114,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.55 : 49,120.17 = 49,120.17 : x
  2. Step 2: Convert to fraction form
    21,124.55/49,120.17 = 49,120.17/x
  3. Step 3: Cross multiply
    21,124.55x = 49,120.17 × 49,120.17
  4. Step 4: Simplify right side
    21,124.55x = 2,412,791,285.03
  5. Step 5: Solve for x
    x = 2,412,791,285.03/21,124.55
  6. Step 6: Final answer
    x = 114,217.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.